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4 years ago

9

Julia has 2 identical rooms in her house. if each room measures 8 feet on one side and 12 feet on another, what is the total are

a of the rooms

1 answer:

Jlenok [28]4 years ago

5 0

First we have the work out the area of 1 room. So that is 8ft * 12ft which is 96ft^2. And if there are 2 of these rooms, then we multiply this value by 2. Giving us a total area of 192ft^2.

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Solve f (x) = 32^x+6•1/2 = 8^x-1

emmainna [20.7K]

Option B: The value of x is -16

Explanation:

Given that the equation $f(x)=32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

We need to determine the value of x.

Let us substitute f(x) = 0, then we have,

$32^{x+6} \cdot \frac{1}{2}=8^{x-1}$

Now, we shall determine the value of x.

The term $8^{x-1}$ can be written as $\left(2^{3}\right)^{x-1}$

Hence, we have,

$32^{x+6} \cdot \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Also, the term $32^{x+6}$ can be written as $\left(2^{5}\right)^{x+6}$

Thus, we have,

$\left(2^{5}\right)^{x+6} \frac{1}{2}=\left(2^{3}\right)^{x-1}$

Applying the exponent rule, $\left(a^{b}\right)^{c}=a^{b c}$ , we have,

$2^{5(x+6)} \cdot \frac{1}{2}=2^{3(x-1)}$

$2^{5(x+6)} \cdot 2^{-1}=2^{3(x-1)}$

If $a^{f(x)}=a^{g(x)}$ then $f(x)=g(x)$

$5(x+6)-1=3(x-1)$

Simplifying, we get,

$5x+30-1=3x-3$

$5x+29=3x-3$

$2x+29=-3$

$2x=-32$

$x=-16$

Therefore, the value of x is -16

Hence, Option B is the correct answer.

6 0

4 years ago

10 points possible. answer everything completely and I will mark brainliest

Yuliya22 [10]

Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.

Step-by-step explanation:

5 0

3 years ago

Rus_ich [418]

9514 1404 393

Answer:

S = 4.5π ≈ 14.14 units

Step-by-step explanation:

The arc length is given by ...

s = rθ . . . . . r = radius; θ = central angle in radians

The angle 135° is ...

135° = 135°(π/180°) = 3π/4 radians

The arc of interest has length ...

s = 6×3π/4 = 9/2π ≈ 14.14 . . . units

8 0

3 years ago

7. What does the vocabulary word "Population" mean when talking about Probability and Statistics?

dybincka [34]

Answer:

group to be studied

Step-by-step explanation:

7 0

3 years ago

Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe

Fantom [35]

Answer:

The required expression that represents the number of pound of coffees B is $100-x$

Step-by-step explanation:

Consider the provided information.

You want to mix two coffees in order to obtain 100 pounds of a blend.

Let x represents the number of pounds of coffee A and y represents the number of pounds of coffee B.

The obtained weight is 100 pounds.

$x+y=100$

$y=100-x$

Hence, the required expression that represents the number of pound of coffees B is $100-x$

8 0

3 years ago